Essentials Of Statistics
Essentials Of Statistics
4th Edition
ISBN: 9781305093836
Author: HEALEY, Joseph F.
Publisher: Cengage Learning,
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 4, Problem 4.3P

In problem 3.1 at the end of Chapter 3, you calculated measures of central tendency for six variables for freshmen and seniors. Three of those variables are reproduced here. Calculate the mean (if necessary), the range, and the standard deviation for each variable. What information is added by the measures of dispersion? Write a paragraph summarizing the differences between freshmen and seniors.

Out-of-Pocket Expenses Number of Movies Rating of Cafeteria Food
Freshmen Seniors Freshmen Seniors Freshmen Seniors
43 75 0 0 10 1
49 72 14 5 7 2
55 70 10 11 2 8
57 95 7 3 1 4
72 72 5 4 8 3
58 67 1 14 6 6
62 50 0 0 10 2
75 59 14 7 0 9
61 55 3 5 5 4
53 95 4 3 6 7
88 5 4

3.1 S O C A variety of information has been gathered from a sample of college freshmen and seniors, including

• Their region of birth;

• The extent to which they support legalization of marijuana (measured on a scale on which 7 = strong support , 4   = neutral , and 1   = strong Opposition );

• The amount of money they spend each week out of—pocket for food, drinks, and entertainment;

• How many movies they watched in their dorm rooms last week;

• Their opinion of cafeteria food ( 10 = excellent , 0 = very bad ); and

• Their religious affiliation.

Some results are presented here. Find the most appropriate measure of central tendency for each variable for freshmen and then for seniors. Report both the measure you selected and its value for each variable (e.g., “ Mode  = 3 ” or “ Median = 3.5 ”). (HINT: Determine the level of measurement for each variable first. In general, this will tell you which measure of central tendency is appropriate. See the section “Choosing a Measure of central Tendency” to review the relationship between measure of central tendency and level of measurement. Also, remember that the mode is the most common score, and especially remember to array scores from high to low before finding the median.)

FRESHMEN
Student Region of Birth Legalization Out-of-Pocket Expenses Movies Cafeteria Food Religion
A North 7 43 0 10 Protestant
B North 4 49 14 7 Protestant
C South 3 55 10 2 Catholic
D Midwest 2 57 7 1 None
E North 3 72 5 8 Protestant
F North 5 58 1 6 Jew
G South 1 62 0 10 Protestant
H South 4 75 14 0 Other
I Midwest 1 61 3 5 Other
J West 2 53 4 6 Catholic
SENIORS
Student Region of Birth Legalization Out-of-Pocket Expenses Movies Cafeteria Food Religion
K North 7 75 0 1 None
L Midwest 6 72 5 2 Protestant
M North 7 70 11 8 Protestant
N North 5 95 3 4 Catholic
O South 1 72 4 3 Protestant
P South 5 67 14 6 Protestant
Q West 6 50 0 2 Catholic
R West 7 59 7 9 None
S North 3 55 5 4 None
T West 5 95 3 7 Other
U North 4 88 5 4 None

Some results are presented here. Find the most appropriate measure of central tendency for each variable for freshmen and then for seniors. Report both the measure you selected and its value for each variable (e.g., “ Mode  = 3 ” or “ Median = 3.5 ”). (HINT: Determine the level of measurement for each variable first. In general, this will tell you which measure of central tendency is appropriate. See the section “Choosing a Measure of central Tendency” to review the relationship between measure of central tendency and level of measurement. Also, remember that the mode is the most common score, and especially remember to array scores from high to low before finding the median.)

FRESHMEN
Student Region of Birth Legalization Out-of-Pocket Expenses Movies Cafeteria Food Religion
A North 7 43 0 10 Protestant
B North 4 49 14 7 Protestant
C South 3 55 10 2 Catholic
D Midwest 2 57 7 1 None
E North 3 72 5 8 Protestant
F North 5 58 1 6 Jew
G South 1 62 0 10 Protestant
H South 4 75 14 0 Other
I Midwest 1 61 3 5 Other
J West 2 53 4 6 Catholic
SENIORS
Student Region of Birth Legalization Out-of-Pocket Expenses Movies Cafeteria Food Religion
K North 7 75 0 1 None
L Midwest 6 72 5 2 Protestant
M North 7 70 11 8 Protestant
N North 5 95 3 4 Catholic
O South 1 72 4 3 Protestant
P South 5 67 14 6 Protestant
Q West 6 50 0 2 Catholic
R West 7 59 7 9 None
S North 3 55 5 4 None
T West 5 95 3 7 Other
U North 4 88 5 4 None
Blurred answer
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License